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Finding the Fourth Proportional to 578,065.83, 797,745.02 and 323,433.51

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Solution

The fourth proportional to 578,065.83, 797,745.02 and 323,433.51 is: 446,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,065.83 : 797,745.02 = 323,433.51 : x
  2. Step 2: Convert to fraction form
    578,065.83/797,745.02 = 323,433.51/x
  3. Step 3: Cross multiply
    578,065.83x = 797,745.02 × 323,433.51
  4. Step 4: Simplify right side
    578,065.83x = 258,017,471,903.62
  5. Step 5: Solve for x
    x = 258,017,471,903.62/578,065.83
  6. Step 6: Final answer
    x = 446,346.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.